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Simplifying 47 + -1(2x + 14) = 2(x + 9) + x Reorder the terms: 47 + -1(14 + 2x) = 2(x + 9) + x 47 + (14 * -1 + 2x * -1) = 2(x + 9) + x 47 + (-14 + -2x) = 2(x + 9) + x Combine like terms: 47 + -14 = 33 33 + -2x = 2(x + 9) + x Reorder the terms: 33 + -2x = 2(9 + x) + x 33 + -2x = (9 * 2 + x * 2) + x 33 + -2x = (18 + 2x) + x Combine like terms: 2x + x = 3x 33 + -2x = 18 + 3x Solving 33 + -2x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 33 + -2x + -3x = 18 + 3x + -3x Combine like terms: -2x + -3x = -5x 33 + -5x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 33 + -5x = 18 + 0 33 + -5x = 18 Add '-33' to each side of the equation. 33 + -33 + -5x = 18 + -33 Combine like terms: 33 + -33 = 0 0 + -5x = 18 + -33 -5x = 18 + -33 Combine like terms: 18 + -33 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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